Highest Common Factor of 4333, 5047 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 4333, 5047 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 4333, 5047 is 7 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 4333, 5047 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 4333, 5047 is 7.
HCF(4333, 5047) = 7
HCF of 4333, 5047 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4333, 5047 is 7.
Highest Common Factor of 4333,5047 is 7
Step 1: Since 5047 > 4333, we apply the division lemma to 5047 and 4333, to get
5047 = 4333 x 1 + 714
Step 2: Since the reminder 4333 ≠ 0, we apply division lemma to 714 and 4333, to get
4333 = 714 x 6 + 49
Step 3: We consider the new divisor 714 and the new remainder 49, and apply the division lemma to get
714 = 49 x 14 + 28
We consider the new divisor 49 and the new remainder 28,and apply the division lemma to get
49 = 28 x 1 + 21
We consider the new divisor 28 and the new remainder 21,and apply the division lemma to get
28 = 21 x 1 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 4333 and 5047 is 7
Notice that 7 = HCF(21,7) = HCF(28,21) = HCF(49,28) = HCF(714,49) = HCF(4333,714) = HCF(5047,4333) .
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Frequently Asked Questions on HCF of 4333, 5047 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 4333, 5047?
Answer: HCF of 4333, 5047 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4333, 5047 using Euclid's Algorithm?
Answer: For arbitrary numbers 4333, 5047 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
